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31301431420 = 22576130711939
BaseRepresentation
bin11101001001101101…
…011111000001111100
32222210110011110122211
4131021231133001330
51003101131301140
622214002150204
72155451530360
oct351155370174
988713143584
1031301431420
1112302929796
126096952364
132c4abb176c
14172d21d2a0
15c32eed2ea
hex749b5f07c

31301431420 has 96 divisors (see below), whose sum is σ = 76610096640. Its totient is φ = 10520720640.

The previous prime is 31301431397. The next prime is 31301431433. The reversal of 31301431420 is 2413410313.

It is a junction number, because it is equal to n+sod(n) for n = 31301431391 and 31301431400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2615811 + ... + 2627749.

It is an arithmetic number, because the mean of its divisors is an integer number (798021840).

Almost surely, 231301431420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31301431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38305048320).

31301431420 is an abundant number, since it is smaller than the sum of its proper divisors (45308665220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31301431420 is a wasteful number, since it uses less digits than its factorization.

31301431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12323 (or 12321 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 31301431420 its reverse (2413410313), we get a palindrome (33714841733).

The spelling of 31301431420 in words is "thirty-one billion, three hundred one million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 307 427 610 614 854 1220 1228 1535 1708 2135 2149 3070 4270 4298 6140 8540 8596 10745 11939 18727 21490 23878 37454 42980 47756 59695 74908 83573 93635 119390 131089 167146 187270 238780 262178 334292 374540 417865 524356 655445 728279 835730 1310890 1456558 1671460 2621780 2913116 3641395 3665273 5097953 7282790 7330546 10195906 14565580 14661092 18326365 20391812 25489765 25656911 36652730 50979530 51313822 73305460 101959060 102627644 128284555 223581653 256569110 447163306 513138220 894326612 1117908265 1565071571 2235816530 3130143142 4471633060 6260286284 7825357855 15650715710 31301431420